Matching conditions for effective-mass functions at an abrupt heterojunction, tested on an exactly solvable model

Physica Scripta

Volumn 59, Issue 5, 1999, Pages 405-410

  Laheld, U E H ^a   Hemmer, P C ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039031016     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/Physica.Regular.059a00405     Document Type: Article

References (27)

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7. A few of the relevant articles are Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987); Morrow, R. A., ibid. 36, 4836 (1987); Enders, P., phys. stat. sol. (b) 139, K113 (1987); Liu, H. C., Superlatt. Microstruct. 3, 413 (1987); Trzeciakowski, W., Phys. Rev. B38, 4322, 4322 (1988); Burt, M. G., J. Phys. Cond. Matter 4, 6651 (1992).
8. A few of the relevant articles are Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987); Morrow, R. A., ibid. 36, 4836 (1987); Enders, P., phys. stat. sol. (b) 139, K113 (1987); Liu, H. C., Superlatt. Microstruct. 3, 413 (1987); Trzeciakowski, W., Phys. Rev. B38, 4322, 4322 (1988); Burt, M. G., J. Phys. Cond. Matter 4, 6651 (1992).
9. A few of the relevant articles are Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987); Morrow, R. A., ibid. 36, 4836 (1987); Enders, P., phys. stat. sol. (b) 139, K113 (1987); Liu, H. C., Superlatt. Microstruct. 3, 413 (1987); Trzeciakowski, W., Phys. Rev. B38, 4322, 4322 (1988); Burt, M. G., J. Phys. Cond. Matter 4, 6651 (1992).
10. A few of the relevant articles are Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987); Morrow, R. A., ibid. 36, 4836 (1987); Enders, P., phys. stat. sol. (b) 139, K113 (1987); Liu, H. C., Superlatt. Microstruct. 3, 413 (1987); Trzeciakowski, W., Phys. Rev. B38, 4322, 4322 (1988); Burt, M. G., J. Phys. Cond. Matter 4, 6651 (1992).
11. A few of the relevant articles are Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987); Morrow, R. A., ibid. 36, 4836 (1987); Enders, P., phys. stat. sol. (b) 139, K113 (1987); Liu, H. C., Superlatt. Microstruct. 3, 413 (1987); Trzeciakowski, W., Phys. Rev. B38, 4322, 4322 (1988); Burt, M. G., J. Phys. Cond. Matter 4, 6651 (1992).
12. A few of the relevant articles are Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987); Morrow, R. A., ibid. 36, 4836 (1987); Enders, P., phys. stat. sol. (b) 139, K113 (1987); Liu, H. C., Superlatt. Microstruct. 3, 413 (1987); Trzeciakowski, W., Phys. Rev. B38, 4322, 4322 (1988); Burt, M. G., J. Phys. Cond. Matter 4, 6651 (1992).
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19. The form of the envelope of the exact wave function is often sensitive to the precise location of the interface, see Pedersen, F. B. and Hemmer, P. C., Phys. Rev. B50, 7724 (1994). In the present article, however, we do not go beyond the natural choice given in the text.
20. For details see Laheld, U. E. H., Dr. ing. thesis, Norwegian University of Science and Technology (Trondheim, 1997).
21. Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987).
22. Morrow, R. A. and Brownstein, K. R., Phys. Rev. B30, 678 (1984); Morrow, R. A., ibid. 35, 8074 (1987).
23. α, with α + β+ γ = -1, were shown by Thomsen, J. et al., Phys. Rev. B39, 12 783 (1989), to give non-physical results unless γ = α.
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27. That a quantum well with a small offset may not have any bound states was shown by Trzeciakowski, W., Phys. Rev. B38, 4322, 12493 (1988).